4618736640 has 880 divisors, whose sum is σ = 19878367872. Its totient is φ = 1003290624.

The previous prime is 4618736519. The next prime is 4618736687. The reversal of 4618736640 is 466378164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107412459 + ... + 107412501.

Almost surely, 2^4618736640 is an apocalyptic number.

4618736640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4618736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9939183936).

4618736640 is an abundant number, since it is smaller than the sum of its proper divisors (15259631232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4618736640 is a wasteful number, since it uses less digits than its factorization.

4618736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4618736640 is about 67961.2878041610. The cubic root of 4618736640 is about 1665.3584813705.

The spelling of 4618736640 in words is "four billion, six hundred eighteen million, seven hundred thirty-six thousand, six hundred forty".